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Finding the Third Proportional to 438,830,502 and 601,743,236

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Solution

The third proportional to 438,830,502 and 601,743,236 is: 825,136,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,830,502 : 601,743,236 = 601,743,236 : x
  2. Step 2: Convert to fraction form
    438,830,502/601,743,236 = 601,743,236/x
  3. Step 3: Cross multiply
    438,830,502x = 601,743,236 × 601,743,236
  4. Step 4: Simplify right side
    438,830,502x = 362,094,922,071,751,680
  5. Step 5: Solve for x
    x = 362,094,922,071,751,680/438,830,502
  6. Step 6: Final answer
    x = 825,136,175.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.